A circuit contains two independent voltage sources connected with resistors. Then1.Superposition considers one independent source at a time.2.Total current is sum of individual source contributions.3.Power can be directly added from individual source contributions.4.Dependent sources remain active in analysis.Which of the above statements is/are correct?

Correct Answer: A - 1, 2 and 4 only

Quick Concept Explanation

Superposition is a linear-circuit method used to find voltages or currents caused by multiple independent sources. Analyze one independent source at a time, replace other independent voltage sources by shorts and independent current sources by opens, and keep dependent sources active. Key relation: x = x₁ + x₂ + … for a linear response; P = V²/R = I²R is not a superposable quantity.

Exam focus: Deactivate only independent sources; never suppress a dependent source. Common trap: Adding powers from separate source cases is a classic trap.

Statement-wise Verification

• Statement 1 - Correct.
  Superposition considers one independent source at a time.
  Analyze one independent source at a time, replace other independent voltage sources by shorts and independent current sources by opens, and keep dependent sources active.
• Statement 2 - Correct.
  Total current is sum of individual source contributions.
  Power is nonlinear in voltage/current and therefore individual power contributions are not directly added.
• Statement 3 - Incorrect.
  Power can be directly added from individual source contributions.
  Superposition applies to linear voltage/current responses; power is quadratic and cannot be summed from isolated-source powers
• Statement 4 - Correct.
  Dependent sources remain active in analysis.
  Analyze one independent source at a time, replace other independent voltage sources by shorts and independent current sources by opens, and keep dependent sources active.

Core Concept

Superposition is a linear-circuit method used to find voltages or currents caused by multiple independent sources. Analyze one independent source at a time, replace other independent voltage sources by shorts and independent current sources by opens, and keep dependent sources active. The theorem applies to linear response quantities; power is nonlinear in voltage/current and therefore individual power contributions are not directly added.

Formula / Key Relationship

x = x₁ + x₂ + … for a linear response; P = V²/R = I²R is not a superposable quantity.

Why the Other Options Are Wrong

Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option D is incorrect because it includes incorrect statement(s) 3.

Exam Shortcut / Approach

Deactivate only independent sources; never suppress a dependent source.

Common Mistake

Adding powers from separate source cases is a classic trap.

Quick Revision

Superposition of Independent Sources is linked with Superposition Theorem, Network Theorems and Network Theory. Deactivate only independent sources; never suppress a dependent source.